{
  "abstract": "We study transient solute dispersion in pressure-driven micropolar flow through a concentric annulus representing a catheterized artery. The catheter is impermeable to solute, whereas the arterial wall combines irreversible removal with reversible surface retention. The exact steady micropolar velocity field is coupled to the Gill-Sankarasubramanian generalized-dispersion framework; the resulting bulk-surface hierarchy is advanced with Rannacher-damped Crank-Nicolson time stepping to determine $K_0(t)$, $K_1(t)$ and $K_2(t)$. The exchange coefficient is independent of the micropolar parameters and satisfies $-K_0(0^+)=2(β+θDa)/(1-λ^2)$, whereas $K_2-Pe^{-2}\\simσ_v^2t$ initially, so the leading short-time dispersion is hydrodynamic and independent of wall kinetics. In the weak-reaction regime, micropolarity modifies convection approximately linearly and shear dispersion quadratically through the velocity-amplitude factor. A narrow-gap analysis with $\\varepsilon=1-λ$ gives $\\bar v\\sim(2-N_c)\\varepsilon^2/6$ and $K_2-Pe^{-2}\\sim(2-N_c)^2\\varepsilon^6/7560$ for a fixed pressure gradient, revealing a sixth-power suppression of shear dispersion as the catheter approaches the arterial wall. Increasing $λ$ from $0.01$ to $0.30$ reduces effective convection by about a factor of $2.45$, while chemically passive shear-induced dispersion falls by a factor of $24$. The coupled formulation also yields the exact partition $Φ_m+Φ_s+Φ_a=1$, separating mobile, reversibly retained and irreversibly absorbed solute. The reconstructed field quantifies reaction-modulated transverse non-uniformity, while the results distinguish hydrodynamic effects of confinement and microrotation from kinetic wall effects.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.38423",
  "author_total": 4,
  "authors": [
    {
      "name": "Sohel Ahmed"
    },
    {
      "name": "Nanda Poddar"
    },
    {
      "name": "Kajal Kumar Mondal"
    },
    {
      "name": "Subham Dhar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/83dshxc17dvvt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.38423",
  "fulltext_url": null,
  "id": "83dshxc17dvvt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.38423",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "arxiv",
      "physics.bio-ph"
    ],
    [
      "arxiv",
      "physics.flu-dyn"
    ],
    [
      "arxiv",
      "q-bio.TO"
    ],
    [
      "openalex",
      "2611|Fractional Differential Equations Solutions"
    ]
  ],
  "openalex": "W7215127246",
  "pdf_url": "https://arxiv.org/pdf/2609.38423",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/83dshxc17dvvt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:48Z",
      "native_id": "2609.38423",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.38423"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    },
    {
      "field": "medicine",
      "origin": "arxiv:q-bio.TO",
      "subfield": "physiology"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.bio-ph",
      "subfield": "biological-medical"
    },
    {
      "field": "physics",
      "origin": "arxiv:physics.flu-dyn",
      "subfield": "fluid-dynamics"
    }
  ],
  "title": "Catheter-modulated transient solute dispersion in micropolar annular flow with a retentive and absorptive arterial wall",
  "title_text": "Catheter-modulated transient solute dispersion in micropolar annular flow with a retentive and absorptive arterial wall",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:52Z",
  "url": "https://research.draconitic.com/paper/83dshxc17dvvt",
  "venue": "arXiv",
  "versions": []
}